review the graph of function f(x). what are lim_{x→0^{-}} f(x) and lim_{x→0^{+}} f(x), if they exist? o…

Answer:

B. $\lim_{x\rightarrow0^{-}}f(x)=0$ and $\lim_{x\rightarrow0^{+}}f(x)=1$

Explanation:

Step1: Analyze left - hand limit

As $x$ approaches $0$ from the left side ($x\rightarrow0^{-}$), we look at the part of the graph to the left of $x = 0$. The $y$ - value that the function approaches is $0$.

Step2: Analyze right - hand limit

As $x$ approaches $0$ from the right side ($x\rightarrow0^{+}$), we look at the part of the graph to the right of $x = 0$. The $y$ - value that the function approaches is $1$.